Abstract: To fully consider the influence of structure modal characteristics of ball screw mechanical transmission on the whole dynamic characteristics of feed drive and servo controller,the state space reduced model of ball screw feed system based on eigenvalue model was established,which could solve the feed system dynamic response under the influence of structure modal and realize the integration with the servo control model.Then the position regulating loop model of servo system based on state space model of ball screw feed system was further built.Moreover,the constrain relationship among the modal frequency,the extremum of open-loop amplitude response and the position loop gain was derived.The influence of structure modal characteristics of ball screw feed system on position loop gain was analyzed,and also the optimal value of position loop gain under the influence of structure eigenvalue mode was obtained.By the practical example,the validity on the modal characteristic extraction calculation base on the state space model of ball screw feed system,the analysis about influence of structure modal characteristics of ball screw feed system on position loop gain,and the optimal value estimation of position loop gain under the effect of structural characteristic modal were all verified.

Key words: ball screw feed system, mechanical transmission, position loop gain, structure modal characteristics, structure flexibility

摘要： 为充分考虑滚珠丝杠结构模态特性对伺服控制器及进给驱动系统整体统态性能的影响,建立了基于特征模态的滚珠丝杠进给系统状态空间缩聚模型,以实现在模态特性影响下求解进给系统动力学响应的同时与伺服控制系统集成;在此基础上,建立了基于滚珠丝杠进给系统状态空间缩聚模型的伺服系统位置调节回路模型,推导了系统模态频率、开环幅值响应激增值与位置环增益之间的约束关系式,进行了滚珠丝杠进给系统模态特性对位置环增益的影响性分析,实现了特征模态影响下位置环增益参数的最优值估计。通过实例验证了基于状态空间的滚珠丝杠进给系统模态特性提取、滚珠丝杠进给系统模态特性对位置环增益的影响性分析结果、结构特征模态影响下的位置环增益参数最优值估计的正确性。

关键词: 滚珠丝杠进给系统, 机械传动, 位置环增益, 结构模态特性, 结构柔性